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IB SL 2 -‐ Lesson 11.1 Stats Unit 11: Statistics
Big Picture Phew! Calculus is now a thing of the past! We begin our Journey into Stats and Probability. Please put your seat back and tray in their upright and locked position. This could be a bumpy ride… J
Context of this Lessons
Today we will be “reviewing” the basic concepts of Stats and getting into a few new things.
To Do Today!
-‐ Task 0: Warm Up
-‐ Task 1: Grouped Freq. Table/Histogram
-‐ Task 2: Mean, Median, Mode
-‐ Task 3: Measures of Dispersion
-‐ Task 4:
-‐ Task 5: Exam Review 2.2
Task 0: Warm Up
IB SL 2 -‐ Lesson 11.1 Stats Unit 11: Statistics
Task 1: Grouped Frequency Table
What are the limitations/problems of the data above? What are the advantages of the data above?
IB SL 2 -‐ Lesson 11.1 Stats Unit 11: Statistics
Task 1 Work:
IB SL 2 -‐ Lesson 11.1 Stats Unit 11: Statistics
Task 2: Mean, Median, Mode
Mean:
Median:
Common Error with the above formula.
Mode:
n = 22 Median is the (22+1)/2 = 11.5 Between the 11th and 12th numbers when ordered.
n = 17 Median is the (17+1)/2 = 9th number when ordered
IB SL 2 -‐ Lesson 11.1 Stats Unit 11: Statistics Task 2 Practice 1.
Find the Mean, Median and Mode of the data above
2.
Find the Mean, Median and Mode of the table representation of this data.
IB SL 2 -‐ Lesson 11.1 Stats Unit 11: Statistics
Task 3: Measures of Dispersion Let’s start by inputting the following data into L1, L2, and L3 respectively. Thrower #1
8.74 8.94 9.66 10.01 10.01 8.43 10.25 10.14 9.04 9.30 8.69 8.85 9.25 9.46 10.23 8.95 9.65 8.79 10.62 9.78 9.26 9.39
Thrower #2
10.39 10.86 10.94 9.00 9.15 9.35 9.35 8.25 8.85 8.95 9.10 10.20 9.53 8.76 8.03 8.96 9.25 9.98 10.82 10.10 8.96 9.68
Thrower #3
8.79 9.39 9.94 11.47 9.72 8.49 9.63 9.49 9.83 8.82 9.24 9.13 9.56 9.94 9.75 9.12 8.96 8.83 9.25 9.38 9.62 9.98
Calculator Analysis of the Data The following is an example… not pulled from the data above.
For now we will be using the one on the right for a “five number summary” to make a box and whisker plot for out data… Please make a box and whisker plot for all three throwers on the number line below. Talk about what they show us about the throwers…
T1 T2 T3
IB SL 2 -‐ Lesson 11.1 Stats Unit 11: Statistics
Some Notes on Dispersion, 5 Number Summary and Box and Whisker Plots:
IB SL 2 -‐ Lesson 11.1 Stats Unit 11: Statistics
Task 4: Practice
IB SL 2 -‐ Lesson 11.1 Stats Unit 11: Statistics Task 5: IB Exam Review 2.2 – Functions
Paper 1
Paper 2
IB SL 2 -‐ Lesson 11.1 Stats Unit 11: Statistics